Ground states of medium-heavy doubly-closed-shell nuclei in correlated-basis function theory

Bisconti, Cristian; Saavedra, F. Arias de; Có, G.; Fabrocini, A.

doi:10.1103/physrevc.73.054304

Cited by 17 publications

(21 citation statements)

References 35 publications

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“…In contrast, all the other density functions have much smaller ranges, of the order of 3-4 fm. We found similar results for all the nuclei considered [33,53].…”

Section: The Two-body Distribution Functionssupporting

confidence: 77%

“…When the TBDF are composed of different particles, the results change only slightly. Beside a strong reduction at small distances, the correlations produce enhancements, with respect to the IPM results, around 2 fm, in all the nuclei considered [33].…”

Section: The Two-body Distribution Functionsmentioning

confidence: 99%

“…This situation allowed a straightforward use of the spin and isospin trace techniques developed to describe symmetric nuclear matter [21]. The treatment of nuclei not saturated in isospin and described in the jj coupling scheme, was done in following works [29,33]. Here we do not follow the historical development of the theory but we present directly the formulation of the FHNC theory for double closed shell nuclei not saturated in isospin and in the jj coupling scheme.…”

Section: Finite Nuclear Systemsmentioning

confidence: 99%

“…Binding energies and density distributions have been shown in Ref. [33] for the 12 C , 16 O , 40 Ca , 48 Ca and also 208 Pb nuclei. Here fully realistic microscopic interactions, with tensor and spin-orbit terms were used.…”

Section: Introductionmentioning

confidence: 99%

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Renormalized Fermi hypernetted chain approach in medium–heavy nuclei

et al. 2007

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The application of the Correlated basis function theory and of the Fermi hypernetted chain technique, to the description of the ground state of medium-heavy nuclei is reviewed. We discuss how the formalism, originally developed for symmetric nuclear matter, should be changed in order to describe finite nuclear systems, with different number of protons and neutrons. This approach allows us to describe doubly closed shell nuclei by using microscopic nucleon-nucleon interactions. We presents results of numerical calculations done with twonucleon interactions of Argonne type, implemented with three-body forces of Urbana type. Our results regard ground-state energies, matter, charge and momentum distributions, natural orbits, occupation numbers, quasi-hole wave functions and spectroscopic factors of

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“…In contrast, all the other density functions have much smaller ranges, of the order of 3-4 fm. We found similar results for all the nuclei considered [33,53].…”

Section: The Two-body Distribution Functionssupporting

confidence: 77%

Section: The Two-body Distribution Functionsmentioning

confidence: 99%

Section: Finite Nuclear Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Renormalized Fermi hypernetted chain approach in medium–heavy nuclei

et al. 2007

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“…For medium-weight nuclei (12 ≤ A ≤ 40) truncation schemes based on cluster expansions can be adopted [18]. Correlated-basis function theory has been applied to compute ground-state densities and momentum distributions for doubly-closed-shell nuclei from 12 C to 208 Pb [19,20]. Thanks to the enormous progress in theoretical many-body nuclear physics and the availability of nuclear momentum distributions in a broad mass range, times are ripe to learn more about SRC, for example by mapping its A and isospin dependence.…”

Section: Introductionmentioning

confidence: 99%

Quantifying short-range correlations in nuclei

2012

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Background Short-range correlations (SRC) are an important ingredient of the dynamics of nuclei.Purpose An approximate method to quantify the magnitude of the two-nucleon (2N) and three-nucleon (3N) short-range correlations (SRC) and their mass dependence is proposed.Method The proposed method relies on the concept of the "universality" or "local nuclear character" of the SRC. We quantify the SRC by computing the number of independent-particle model (IPM) nucleon pairs and triples which reveal beyondmean-field behavior. It is argued that those can be identified by counting the number of nucleon pairs and triples in a zero relative orbital momentum state. A method to determine the quantum numbers of pairs and triples in an arbitrary mean-field basis is outlined.Results The mass dependence of the 2N and 3N SRC is studied. The predictions are compared to measurements. This includes the ratio of the inclusive inelastic electron scattering cross sections of nuclei to 2 H and 3 He at large values of the Bjorken variable. Corrections stemming from the center-of-mass motion of the pairs are estimated.Conclusions We find that the relative probability per nucleon for 2N and 3N SRC has a soft dependence with mass number A and that the proton-neutron 2N SRC outnumber the proton-proton (neutron-neutron) 2N SRC. A linear relationship between the magnitude of the EMC effect and the predicted number of proton-neutron SRC pairs is observed. This provides support for the role of local nuclear dynamics on the EMC effect.

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Few- and many-body methods in nuclear physics

Viviani

The IVth International Conference on Quarks and Nuclear Physics

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Ground states of medium-heavy doubly-closed-shell nuclei in correlated-basis function theory

Cited by 17 publications

References 35 publications

Renormalized Fermi hypernetted chain approach in medium–heavy nuclei

Renormalized Fermi hypernetted chain approach in medium–heavy nuclei

Quantifying short-range correlations in nuclei

Few- and many-body methods in nuclear physics

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